Robust Input Shaper Control Design for Parameter Variations in Flexible Structures

Input shaping has been shown to yield good performance in the control of flexible structures while being insensitive to modeling errors. However, previous studies do not take into account the distributions of the parameter variations. We develop a new input shaping method that allows the ranges of system parameter values to be weighted according to the expected modeling errors. Comparisons with previously proposed input shaper designs are presented to illustrate the qualities of the new input shaper design method. These new shapers will be shown to have better robustness under uncertainty in structural parameters and shorter shaper lengths for lightly damped systems.

[1]  Tarunraj Singh,et al.  Robust time-optimal control - Frequency domain approach , 1994 .

[2]  Wayne J. Book,et al.  Controlled Motion in an Elastic World , 1993 .

[3]  Lucy Y. Pao.  Analysis of the Frequency, Damping, and Total Insensitivities of Input Shaping Designs , 1997 .

[4]  Warren P. Seering,et al.  INPUT SHAPING FOR VIBRATION REDUCTION WITH SPECIFIED INSENSITIVITY TO MODELING ERRORS , 1996 .

[5]  Qiang Liu,et al.  Robust time-optimal control of uncertain structural dynamic systems , 1993 .

[6]  David Patrick Magee.  Optimal arbitrary time-delay filtering to minimize vibration in elastic manipulator systems , 1996 .

[7]  Warren P. Seering,et al.  A zero-placement technique for designing shaped inputs to suppress multiple-mode vibration , 1994, Proceedings of 1994 American Control Conference - ACC '94.

[8]  William Singhose,et al.  On the equivalence of minimum time input shaping with traditional time-optimal control , 1995, Proceedings of International Conference on Control Applications.

[9]  Clark R. Dohrmann,et al.  Controlled slosh-free motion of an open container of liquid , 1997 .

[10]  Warren P. Seering,et al.  Residual Vibration Reduction Using Vector Diagrams to Generate Shaped Inputs , 1994 .

[11]  D. De Roover,et al.  Point-to-point control of a high accuracy positioning mechanism , 1997, Proceedings of the 1997 American Control Conference (Cat. No.97CH36041).

[12]  Warren P. Seering,et al.  Experimental Verification of Vibration Reduction in Flexible Spacecraft Using Input Shaping , 1997 .

[13]  C. D. Gelatt,et al.  Optimization by Simulated Annealing , 1983, Science.

[14]  Clark R. Dohrmann,et al.  Control for slosh-free motion of an open container , 1997 .

[15]  O. Smith.  Posicast Control of Damped Oscillatory Systems , 1957 .

[16]  Youdan Kim,et al.  Introduction to Dynamics and Control of Flexible Structures , 1993 .

[17]  Wayne J. Book,et al.  Filtering micro-manipulator wrist commands to prevent flexible base motion , 1995, Proceedings of 1995 American Control Conference - ACC'95.

[18]  Lucy Y. Pao,et al.  Input shaper designs for minimizing the expected level of residual vibration in flexible structures , 1997, Proceedings of the 1997 American Control Conference (Cat. No.97CH36041).

[19]  Emile H. L. Aarts,et al.  Simulated Annealing: Theory and Applications , 1987, Mathematics and Its Applications.

[20]  Sudarshan P. Bhat,et al.  Solutions to Point-to-Point Control Problems using Laplace Transform Technique , 1990, 1990 American Control Conference.

[21]  William Singhose,et al.  An input shaping controller enabling cranes to move without sway , 1997 .

[22]  Warren P. Seering,et al.  Preshaping Command Inputs to Reduce System Vibration , 1990 .

[23]  Lucy Y. Pao,et al.  Expected Residual Vibration of Traditional and Hybrid Input Shaping Designs , 1999 .